Search a number
-
+
12430580 = 2252361443
BaseRepresentation
bin101111011010…
…110011110100
3212101112112212
4233122303310
511140234310
61122232552
7210441521
oct57326364
925345485
1012430580
117020308
1241b5758
132762c96
141918148
151158205
hexbdacf4

12430580 has 48 divisors (see below), whose sum is σ = 27748224. Its totient is φ = 4667520.

The previous prime is 12430559. The next prime is 12430591. The reversal of 12430580 is 8503421.

12430580 = T207 + T208 + ... + T436.

It is a super-3 number, since 3×124305803 (a number of 22 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (23).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 27839 + ... + 28281.

It is an arithmetic number, because the mean of its divisors is an integer number (578088).

Almost surely, 212430580 is an apocalyptic number.

12430580 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12430580, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13874112).

12430580 is an abundant number, since it is smaller than the sum of its proper divisors (15317644).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

12430580 is a wasteful number, since it uses less digits than its factorization.

12430580 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 536 (or 534 counting only the distinct ones).

The product of its (nonzero) digits is 960, while the sum is 23.

The square root of 12430580 is about 3525.7027668254. The cubic root of 12430580 is about 231.6490184326.

The spelling of 12430580 in words is "twelve million, four hundred thirty thousand, five hundred eighty".

Divisors: 1 2 4 5 10 20 23 46 61 92 115 122 230 244 305 443 460 610 886 1220 1403 1772 2215 2806 4430 5612 7015 8860 10189 14030 20378 27023 28060 40756 50945 54046 101890 108092 135115 203780 270230 540460 621529 1243058 2486116 3107645 6215290 12430580